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integrate (4x^3 +3)(x^4 +3x +16)^2 dx

For this integration, we will use integration by substitution:First, we will let substitute u = X⁴ + 3X + 16 (this may be known as g(x) function and we will need to find the derivative of our u...

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The line l is a tangent to the circle x^2 + y^2 = 40 at the point A. A is the point (2, 6). The line l crosses the x-axis at the point P. Work out the area of triangle OAP.

The area of OAP is 60. The missing information I need is to find the x coordinate of point P. To do this I need to find the equation of the tangent. For this I first found the equation of the radius by fi...

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How do you know when to use sin, cos and tan?

When trying to work out and unknown angle in a right angled triangle, if you know the length of two sides you can use these the figure out the right trig function to use. SOH CAH TOA is an easy way to rem...

Answered by Emily D. • Maths tutor

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How do you intergrate basic algebra?

To integrate basic algebra you add one to the power of a value and then divide the coefficent by the new power, for example:To intergrate: 16x³You firstly add one to the power to get: 16...

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How do you differentiate simple algebra?

For differentiation you simply multiply the coefficient of the unknown variable that you are differentiating by the power of the coefficient, then minus one from the power. For example to differentiate 3x...

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